Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | Last revision Both sides next revision | ||
|
smooth_atlas [2014/12/04 16:42] nikolaj |
smooth_atlas [2014/12/18 18:13] nikolaj |
||
|---|---|---|---|
| Line 8: | Line 8: | ||
| | @#55EE55: postulate | @#55EE55: $\phi\circ\psi^{-1}$ ... smooth | | | @#55EE55: postulate | @#55EE55: $\phi\circ\psi^{-1}$ ... smooth | | ||
| - | ==== Discussion ==== | ||
| === Formalities === | === Formalities === | ||
| A priori "$\phi\circ\psi^{-1}$" in the postulate doesn't make sense as their domains/codomains will not much. Here, really, one must choose functions with appropriately restricted domain. | A priori "$\phi\circ\psi^{-1}$" in the postulate doesn't make sense as their domains/codomains will not much. Here, really, one must choose functions with appropriately restricted domain. | ||
| + | ==== Discussion ==== | ||
| === Idea === | === Idea === | ||
| For a smooth atlas there are smooth coordinate changes on $\mathbb R^n$. | For a smooth atlas there are smooth coordinate changes on $\mathbb R^n$. | ||
